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Finding the Fourth Proportional to 118.61, 163.53 and 74.87

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Solution

The fourth proportional to 118.61, 163.53 and 74.87 is: 103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.61 : 163.53 = 74.87 : x
  2. Step 2: Convert to fraction form
    118.61/163.53 = 74.87/x
  3. Step 3: Cross multiply
    118.61x = 163.53 × 74.87
  4. Step 4: Simplify right side
    118.61x = 12,242.67
  5. Step 5: Solve for x
    x = 12,242.67/118.61
  6. Step 6: Final answer
    x = 103.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.